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  4. The contrapositive of (p ∨ q)⇒ r is

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Q. The contrapositive of $\left(p \lor q\right)\Rightarrow r$ is

NTA AbhyasNTA Abhyas 2022

Solution:

Contrapositive of $p\Rightarrow q$ is $\sim q \Rightarrow \, \sim p$
$\therefore $ contrapositive of $\left(p \lor q\right)\Rightarrow r$ is $\sim r\Rightarrow \sim \left(p \lor q\right)$ i.e. $\sim r\Rightarrow \left(\sim p \land \sim q\right)$ .